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On vibration-convective flows in a Hele-Shaw cell

  • I. A. Babushkin
  • V. A. Demin
Article

The influence of high-frequency horizontal vibrations on convective flow conditions in a Hele-Shaw cell located in a homogeneous gravitational field and heated from below has been studied theoretically and experimentally. The linear problem of stability of mechanical quasi-equilibrium in the case of model boundary conditions has been solved analytically. The supercritical conditions of vibrational convection have been investigated numerically by the finite-difference method. It has been shown that at small values of the thermal and vibration Rayleigh numbers in a fluid a state close to quasi-equilibrium is realized. The critical values of the thermal and vibration Rayleigh numbers at which a change of different stationary and nonstationary convective regimes takes place have been determined. A stability map of vibration-convective flows has been generated.

Keywords

Vortex Rayleigh Number Wide Face Corner Vortex Model Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Perm State UniversityPermRussia

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